SOLUTION: A microbiologist found out that the number of microbes in a refrigerated food is given by n=20t^2-45t+240, for -2 <= t <= 14 and t is the temperature in Celsius. At what temperatu

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Question 1061054: A microbiologist found out that the number of microbes in a refrigerated food is given by n=20t^2-45t+240, for -2 <= t <= 14 and t is the temperature in Celsius. At what temperature will the number of bacteria be minimal? Show all work and rounfd to nearest tenth.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
t -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
No. 410 305 240 215 230 285 380 515 690 905 1160 1455 1790 2165 2580 3035 3530
By substituting t values into equation: 20t^2 - 45t + 240
Minimal number of bacteria occurs at t = 1 Number of bacteria = 215.
Hope this helps :-)